LHCb Tracking Performance

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Table of contents

1 Introduction 
2 The World as We Know It : Theory 
2.1 Standard Model of Particle Physics
2.2 Limitations of the Standard Model
2.3 Test of Lepton Universality with b! s `+`􀀀 Decays
2.4 Measurements of b! s `+`􀀀 Lepton Universality Ratios
2.4.1 B-factories
2.4.2 LHCb
2.4.3 Experimental Results
2.5 New Physics Interpretation
2.5.1 Model Independent Analysis of Wilson Coecients
2.5.2 New Physics Explanation
2.5.3 Common Explanation with RD and RD Anomalies
2.6 Conclusion
2.7 Bibliography
3 Beauty and the Machine: LHCb detector at LHC 
3.1 The LHC collider
3.2 b production at the LHCb interaction point
3.2.1 Instantaneous Luminosity at the LHCb
3.2.2 bb cross-section at the LHC
3.3 The LHCb Detector
3.3.1 Tracking System
3.3.2 Particle Identication System
3.3.3 LHCb Trigger
3.4 Conclusion
3.5 Bibliography
4 Sensing an Imbalance in the Force : Test of Lepton Flavour Universality with RK and RK 
4.1 Analysis Strategy
4.2 Data Sample
4.2.1 Real Data Samples
4.2.2 Triggers
4.2.3 Stripping
4.2.4 Simulation Sample
4.3 Selections
4.3.1 Generic Selections
4.3.2 Exclusive Background Selections
4.3.3 Multivariate Classiers
4.3.4 HOP cut optimisation
4.4 Corrections and Eciencies
4.4.1 Corrections to Simulation
4.4.2 Eciencies
4.5 Mass ts
4.5.1 Mass Ranges
4.5.2 Simulated Shapes
4.5.3 Rare and resonant mode signal PDFs
4.5.4 Background PDFs in B0 modes
4.5.5 Background PDFs in B+ modes
4.5.6 Background Normalisation Constraints
4.5.7 Congurations of the Rare Mode Fits
4.5.8 Fits to Real Data
4.5.9 Fitter validation with pseudoexperiments
4.6 Systematic Uncertainty
4.6.1 Systematic uncertainties due to the limited size of calibration samples
4.6.2 Systematic uncertainties due to simulation corrections and the eciency measurement
4.6.3 Systematic uncertainty due to the mass t
4.6.4 Residual Non atness of rJ=
4.6.5 Summary of Systematic Uncertainties
4.7 Cross checks
4.7.1 Integrated rJ=
4.7.2 Flatness of rJ=
4.7.3 Double ratio R (2S)
4.8 Results and Conclusion
4.9 Bibliography
5 The Fault in Our Fitter: Binned Fits with RooFit 
5.1 RooFit and Likelihood Maximisation
5.1.1 A Historical Introduction to RooFit
5.1.2 Likelihoods
5.1.3 Binned vs Unbinned Time Complexity
5.1.4 RooFit’s Binned Likelihood
5.2 The Independent Study
5.2.1 Strategy
5.2.2 Results
5.2.3 TF1 Cross check
5.3 Numerical Integration in RooFit’s Binned Likelihood
5.3.1 Choice of Integral Algorithms
5.3.2 Results
5.4 Conclusion
5.5 Bibliography
Appendices
A HLT1 Lines Eciencies 
B B Momentum Fraction in Rare and Control modes 
C Stripping Cuts 
D Corrections 
D.1 HLT TIS Lines
D.2 Invariant mass ts to m(ee)
D.3 Measurements of and s
E Mass Fits 
E.1 Shapes of Simulated Signal
E.2 Shapes of Simulated Backgrounds
E.2.1 B0 Mode Backgrounds
E.2.2 B+ Mode Backgrounds
E.3 Rare Mode Fits to Data
F Cross Checks 
F.1 Integrated rJ=
F.2 Dierential rJ=
F.3 R (2S) G List of gures